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Xelga [282]
3 years ago
5

The lowest temperature on Thursday was -20 degrees C. The lowest temperature on Saturday was -12 degrees C. What was the differe

nce between the lowest temperatures
Mathematics
1 answer:
Korolek [52]3 years ago
4 0

Answer: -8 degrees C.

Step-by-step explanation:    

if you hear the what is the difference then you know you'll subtract:)

-20 - -12 = -8 degrees C.

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It is 4. 2x + 3 < -9= -6
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Hello!

-x / 4 + 5 = -3

Subtract 5 from both sides

-x / 4 = -8

Multiply both sides by 4

-x = -32

Since x is negative we can multiply both sides by -1 to make x positive

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6. y = -3x + 2<br> y = -3x - 7
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Answer:

No Solution.

Step-by-step explanation:

y=-3x+2

y=-3x-7

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-3x+2=-3x-7

-3x-(-3x)+2=-7

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Raj was asked to fully simplify this polynomial and put it into standard form.
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Step-by-step explanation:

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3 years ago
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element X is a radioactive isotope such that every 21 years, its mass decreases by half. Given that the initial mass of a sample
pashok25 [27]

Answer:

The percentage rate of decay per year is of 3.25%.

The function showing the mass of the sample remaining after t is A(t) = 80(0.9675)^t

Step-by-step explanation:

Equation for decay of substance:

The equation that models the amount of a decaying substance after t years is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Every 21 years, its mass decreases by half.

This means that A(21) = 0.5A(0). We use this to find r, the percentage rate of decay per year.

A(t) = A(0)(1-r)^t

0.5A(0) = A(0)(1-r)^{21}

(1-r)^{21} = 0.5

\sqrt[21]{(1-r)^{21}} = \sqrt[21]{0.5}

1 - r = 0.5^{\frac{1}{21}}

1 - r = 0.9675

r = 1 - 0.9675 = 0.0325

The percentage rate of decay per year is of 3.25%.

Given that the initial mass of a sample of Element X is 80 grams.

This means that A(0) = 80

The equation is:

A(t) = A(0)(1-r)^t

A(t) = 80(1-0.0325)^t

A(t) = 80(0.9675)^t

The function showing the mass of the sample remaining after t is A(t) = 80(0.9675)^t

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